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Without actually calculating the cubes, find the value of the following:

(–12)3 + (7)3 + (5)3

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Without actually calculating the cubes, find the value of the following:

(28)3 + (–15)3 + (–13)3

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

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Give possible expression for the length and breadth of the following rectangle, in which their area are given:

Area : 25a2 – 35a + 12
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Give possible expression for the length and breadth of the following rectangle, in which their area is given:

Area : 35y2 + 13y  – 12
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

What are the possible expressions for the dimensions of the cuboids whose volume is given below?

Volume : 3x2 – 12x
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

What are the possible expressions for the dimensions of the cuboids whose volume is given below?

Volume : 12ky2 + 8ky – 20k
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Fill in the blanks:

The centre of a circle lies in ____________ of the circle. 

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Fill in the blanks:

A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior)

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Fill in the blanks:

The longest chord of a circle is a __________ of the circle.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Fill in the blanks:

An arc is a __________ when its ends are the ends of a diameter.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Fill in the blanks:

Segment of a circle is the region between an arc and __________ of the circle.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Fill in the blanks:

A circle divides the plane, on which it lies, in __________ parts.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Write True or False. Give reason for your answer.

Line segment joining the centre to any point on the circle is a radius of the circle.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Write True or False. Give reason for your answer.

A circle has only finite number of equal chords.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Write True or False. Give reasons for your answers.

If a circle is divided into three equal arcs, each is a major arc.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Write True or False. Give reasons for your answers.

A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Write True or False. Give reason for your answer. 

Sector is the region between the chord and its corresponding arc.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Write True or False. Give reason for your answer.
A circle is a plane figure.

[11] Circles
Chapter: [11] Circles
Concept: undefined >> undefined

Evaluate the following using identities:

`(2x+ 1/x)^2`

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Evaluate the following using identities:

(2x + y) (2x − y)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined
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